What is \sqrt[6]{x^5}\sqrt[3]{x^2} ?

The solution to \sqrt[6]{x^5}\sqrt[3]{x^2} is x^{3/2}

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simplify \sqrt[6]{x^5}\sqrt[3]{x^2}

simplify

x^{\frac{3}{2}}

Solution steps

= x^{\frac{5}{6}} x^{\frac{2}{3}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{5}{6}} x^{\frac{2}{3}} = x^{\frac{5}{6} + \frac{2}{3}}

= x^{\frac{5}{6} + \frac{2}{3}}

Join

\frac{5}{6} + \frac{2}{3} : \frac{3}{2}

= x^{\frac{3}{2}}

(4.3) (4. 3^{2})^{4}

(m^{2} n) (4 m n^{2}) (mn)

8.11 \cdot 1 0^{- 2}

What is \sqrt[6]{x^5}\sqrt[3]{x^2} ?
The solution to \sqrt[6]{x^5}\sqrt[3]{x^2} is x^{3/2}